The crystal structure of the title compound, C(11)H(9)NO(4), consists of infinite one-dimensional polymeric chains due to inter-molecular O-H⋯O hydrogen bonds between the carboxyl-ate and carbonyl groups. The phthalimide ring system and the C-COO group are planar, with r.m.s. deviations of 0.0253 and 0.0067 Å, respectively, from their mean square planes and the dihedral angle between them is 66...

In the crystal of the title compound, C(16)H(12)Cl(2)N(2)O(2), the two C=O groups are anti to each other, while one of them is syn and the other is anti to their adjacent C-H bonds. The two benzene rings are oriented at an inter-planar angle of 56.4 (1)°, while the dihedral angles between the central amide group (N-C-C-C-C-N) and these rings are 3.6 (1) and 54.1 (1)°. An intra-molecular N-H⋯O h...

In the title compound, C(17)H(20)N(2)O(2)S, the tetra-hydro-pyridine ring adopts an envelope conformation with the N atom at the flap position; the phenyl ring makes a dihedral angle of 81.06 (10)° with the thio-phene ring. The amino group links with the carbonyl O atom via intra-molecular N-H⋯O hydrogen bonding, forming a six-membered ring. In the crystal, inter-molecular N-H⋯O hydrogen bonds ...

The mol-ecule of the title compound, C(25)H(34)N(2)O(6), adopts a fully extended configuration. The oxime (-CH=N-O-) group is coplanar with the aromatic ring and the two benzene rings are almost parallel, making a dihedral angle of 0.16 (3)°. In the crystal structure, strong intra-molecular O-H⋯N hydrogen bonds generate six-membered S(6) ring motifs. Inter-molecular C-H⋯O hydrogen bonds link ea...

Abstract In this paper, we set ? ? ( G stretchy="false">) \eta(G) to be the number of conjugacy classes maximal cyclic subgroups a finite group ????. We compute for all metacyclic ????-groups. show that if ???? is ????-group order <m:msup...

In this paper, sharp upper bounds for the domination number, total domination number and connected domination number for the Cayley graph G = Cay(D2n, Ω) constructed on the finite dihedral group D2n, and a specified generating set Ω of D2n. Further efficient dominating sets in G = Cay(D2n, Ω) are also obtained. More specifically, it is proved that some of the proper subgroups of D2n are efficie...

We study different phases of the one-dimensional bond-alternating spin-1/2 Heisenberg model by using the symmetry fractionalization mechanism. We employ the infinite matrix-product state representation of the ground state (through the infinite-size density matrix renormalization group algorithm) to obtain inequivalent projective representations and commutation relations of the (unbroken) symmet...

In the title mol-ecular salt, C(12)H(16)N(3)O(2) (+)·ClO(4) (-), the nitro group is close to being coplanar with the benzene ring [dihedral angle = 8.1 (3)°]. The seven-membered ring has a maximum deviation of 0.502 (3) Å at the C atom between the dimethyl- and methyl-substituted C atoms. In the crystal, the components are linked into infinite sheets lying parallel to the bc plane by N-H⋯O and ...

In the title compound, C(18)H(19)ClN(4)O(3), the dihydro-pyrimidin-one ring adopts a flattened boat conformation. The dihedral angle between the phenyl and pyrazole rings is 43.39 (6)°. An intra-molecular C-H⋯O contact generates an S(8) ring motif that stabilizes the mol-ecular conformation and precludes the carbonyl O atom of the ester group from forming inter-molecular inter-actions. Mol-ecul...